Package g1201_1300.s1201_ugly_number_iii

Class Solution

  • All Implemented Interfaces:
    
public final class Solution

    1201 - Ugly Number III.

    Medium

    An ugly number is a positive integer that is divisible by a, b, or c.

    Given four integers n, a, b, and c, return the <code>n<sup>th</sup></code> ugly number.

    Example 1:

    Input: n = 3, a = 2, b = 3, c = 5

    Output: 4

    Explanation: The ugly numbers are 2, 3, 4, 5, 6, 8, 9, 10... The 3<sup>rd</sup> is 4.

    Example 2:

    Input: n = 4, a = 2, b = 3, c = 4

    Output: 6

    Explanation: The ugly numbers are 2, 3, 4, 6, 8, 9, 10, 12... The 4<sup>th</sup> is 6.

    Example 3:

    Input: n = 5, a = 2, b = 11, c = 13

    Output: 10

    Explanation: The ugly numbers are 2, 4, 6, 8, 10, 11, 12, 13... The 5<sup>th</sup> is 10.

    Constraints:

    • <code>1 <= n, a, b, c <= 10<sup>9</sup></code>

    • <code>1 <= a * b * c <= 10<sup>18</sup></code>

    • It is guaranteed that the result will be in range <code>1, 2 * 10<sup>9</sup></code>.

    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class Description

    • Field Summary

      Fields 
      Modifier and Type Field Description

    • Constructor Summary

      Constructors 
      Constructor Description
      Solution()

    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description

    • Method Summary

      Modifier and Type Method Description
      final Integer nthUglyNumber(Integer n, Integer a, Integer b, Integer c)

      • Methods inherited from class java.lang.Object

        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait